English

Congruences of a square matrix and its transpose

Representation Theory 2007-09-18 v1

Abstract

It is known that any square matrix over any field F is congruent to its transpose. We show that they are also *congruent with respect to any nonidentity involution on F.

Keywords

Cite

@article{arxiv.0709.2489,
  title  = {Congruences of a square matrix and its transpose},
  author = {Roger A. Horn and Vladimir V. Sergeichuk},
  journal= {arXiv preprint arXiv:0709.2489},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-06-21T09:18:01.093Z